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Keywords = nullcone fronts

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10 pages, 637 KiB  
Article
Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
by Pengcheng Li and Donghe Pei
Mathematics 2021, 9(22), 2939; https://doi.org/10.3390/math9222939 - 18 Nov 2021
Cited by 10 | Viewed by 2244
Abstract
The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if [...] Read more.
The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by using framed curvatures of spacelike framed curves. Finally, we exhibit some examples to illustrate our results. Full article
(This article belongs to the Special Issue Differential Geometry of Spaces with Special Structures)
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